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Finding the Fourth Proportional to 12,407.46, 17,122.44 and 7,371.90

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Solution

The fourth proportional to 12,407.46, 17,122.44 and 7,371.90 is: 10,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.46 : 17,122.44 = 7,371.90 : x
  2. Step 2: Convert to fraction form
    12,407.46/17,122.44 = 7,371.90/x
  3. Step 3: Cross multiply
    12,407.46x = 17,122.44 × 7,371.90
  4. Step 4: Simplify right side
    12,407.46x = 126,224,915.44
  5. Step 5: Solve for x
    x = 126,224,915.44/12,407.46
  6. Step 6: Final answer
    x = 10,173.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.